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变压器并列运行计算器

校验两台变压器能否并列运行(联结组别、变比、阻抗、容量比),并查看负荷如何按短路阻抗成反比在两者之间分配。

开始计算

结果

输入您的负载 → 数秒内获得完整设计及 BOM

示例输出
Parallel load sharing
798 / 502 kVA
1300 kVA total across 1000 kVA (uk 6%) + 630 kVA (uk 6%) · Feasible for parallel operation ✓
Transformer A loading
80%
Transformer B loading
80%
Combined capacity
1630 kVA
Overall load factor
80%
Parallel-operation conditions (IEC 60076)
ConditionValueVerdict
Same vector groupMatched (e.g. Dyn11 = Dyn11)PASS ✓
Same voltage ratio0% difference (≤ 0.5% recommended)PASS ✓
Impedance within tolerance|uk_A − uk_B| = 0.0% of mean (≤ 10%)PASS ✓
Capacity ratio ≤ 3:11.59 : 1PASS ✓
Load sharing calculation
Weight ASa ÷ uk_A = 1000 ÷ 6 = 166.7
Weight BSb ÷ uk_B = 630 ÷ 6 = 105.0
Load A1300 × 166.7 ÷ 271.7 = 798 kVA (80%)
Load B1300 × 105.0 ÷ 271.7 = 502 kVA (80%)
Conclusion
The two units can operate in parallel; load splits in inverse proportion to their short-circuit impedance.
Bill of materials
EquipmentSpecQtySubtotal
Transformer A (oil-immersed S11)1000 kVA · uk 6%1POA
Transformer B (oil-immersed S11)630 kVA · uk 6%1POA
Total equipmentPOA

适用于为冗余、扩容或 N−1 可靠性而配置并列变压器组的电力系统及厂矿工程师。

使用计算器

计算示例

预先计算的参考示例(可抓取——无需 JavaScript)。在上方输入您自己的参数以获取实时结果。

示例 1——1000 kVA + 630 kVA,阻抗匹配 6%

Parallel load sharing
798 / 502 kVA
1300 kVA total across 1000 kVA (uk 6%) + 630 kVA (uk 6%) · Feasible for parallel operation ✓
Transformer A loading
80%
Transformer B loading
80%
Combined capacity
1630 kVA
Overall load factor
80%
Parallel-operation conditions (IEC 60076)
ConditionValueVerdict
Same vector groupMatched (e.g. Dyn11 = Dyn11)PASS ✓
Same voltage ratio0% difference (≤ 0.5% recommended)PASS ✓
Impedance within tolerance|uk_A − uk_B| = 0.0% of mean (≤ 10%)PASS ✓
Capacity ratio ≤ 3:11.59 : 1PASS ✓
Load sharing calculation
Weight ASa ÷ uk_A = 1000 ÷ 6 = 166.7
Weight BSb ÷ uk_B = 630 ÷ 6 = 105.0
Load A1300 × 166.7 ÷ 271.7 = 798 kVA (80%)
Load B1300 × 105.0 ÷ 271.7 = 502 kVA (80%)
Conclusion
The two units can operate in parallel; load splits in inverse proportion to their short-circuit impedance.
Bill of materials
EquipmentSpecQtySubtotal
Transformer A (oil-immersed S11)1000 kVA · uk 6%1POA
Transformer B (oil-immersed S11)630 kVA · uk 6%1POA
Total equipmentPOA

示例 2——阻抗与变比不匹配

Parallel load sharing
883 / 417 kVA
1300 kVA total across 1000 kVA (uk 6%) + 630 kVA (uk 8%) · Not recommended — check conditions below ✗
Transformer A loading
88%
Transformer B loading
66%
Combined capacity
1630 kVA
Overall load factor
80%
Parallel-operation conditions (IEC 60076)
ConditionValueVerdict
Same vector groupMatched (e.g. Dyn11 = Dyn11)PASS ✓
Same voltage ratio1.5% difference (≤ 0.5% recommended)FAIL ✗
Impedance within tolerance|uk_A − uk_B| = 28.6% of mean (≤ 10%)FAIL ✗
Capacity ratio ≤ 3:11.59 : 1PASS ✓
Load sharing calculation
Weight ASa ÷ uk_A = 1000 ÷ 6 = 166.7
Weight BSb ÷ uk_B = 630 ÷ 8 = 78.8
Load A1300 × 166.7 ÷ 245.4 = 883 kVA (88%)
Load B1300 × 78.8 ÷ 245.4 = 417 kVA (66%)
Circulating current
A 1.5% no-load ratio difference drives a circulating current of ≈ 80 kVA between the two units (adds to the load, does not supply the load).
Bill of materials
EquipmentSpecQtySubtotal
Transformer A (oil-immersed S11)1000 kVA · uk 6%1POA
Transformer B (oil-immersed S11)630 kVA · uk 8%1POA
Total equipmentPOA

计算过程

  • · 负荷分配权重:每台 w = S_nom ÷ uk。
  • · A 台负荷:S_A = S × w_A ÷ (w_A + w_B);B 台同理。
  • · 负载率:S_A ÷ S_nom,A(须保持 ≤ 100%)。
  • · 并列条件:联结组别相同、电压比相同(≤0.5%)、阻抗相互偏差在 ±10% 以内、容量比 ≤ 3:1。
  • · 环流(变比不匹配):I_c ≈ ΔU ÷ (Z_A + Z_B),标幺值。

引用标准

StandardScope
IEC 60076-1电力变压器 — 通用要求
IEC 60076-8电力变压器——应用导则
IEEE C57.12.00液浸式配电变压器和电力变压器通用要求标准

常见问题

变压器并列运行需满足哪些条件?

IEC 60076,并列变压器须匹配:电压比(约 0.5% 以内)、联结组别、阻抗电压 uk(约 10% 以内),且容量比最好小于 3:1。联结组别不匹配会产生环流并严重过热。计算器校核这些条件并给出通过/不通过。

并列变压器之间负荷如何分配?

负荷按阻抗反比分配:uk 越小带的负荷越多。两台同容量、uk 分别 6% 和 4.5% 的变压器按 4.5:6 分载,4.5% 那台带 57%。计算器按阻抗算负荷分配并提示过载。

为什么让变压器并列运行?

并列运行提供冗余(一台检修不停电)、可增量扩容,轻载时只开一台还能提高效率。代价是母线故障水平升高。计算器对并列方案及其故障电流建模。

并列变压器之间的环流是什么?

当并列变压器电压比不等或联结组别不同时,即便空载也有环流,造成额外损耗和发热。1% 变比偏差可产生 5-10% 环流。IEC 60076 把变比差限在约 0.5%。计算器对此校核。

并列变压器会带来多大故障水平?

并列变压器近似叠加短路贡献。两台 1000 kVA、6% uk 变压器在低压母线约 48 kA,而单台约 24 kA,故开关柜须升级。计算器算组合故障水平以便校核柜体额定。

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